13125000 has 128 divisors (see below), whose sum is σ = 46874880. Its totient is φ = 3000000.

The previous prime is 13124987. The next prime is 13125001. The reversal of 13125000 is 52131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874997 + ... + 1875003.

It is an arithmetic number, because the mean of its divisors is an integer number (366210).

Almost surely, 2^13125000 is an apocalyptic number.

13125000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23437440).

13125000 is an abundant number, since it is smaller than the sum of its proper divisors (33749880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13125000 is an frugal number, since it uses more digits than its factorization.

13125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13125000 is about 3622.8441865474. The cubic root of 13125000 is about 235.8846990158.

Adding to 13125000 its reverse (52131), we get a palindrome (13177131).

The spelling of 13125000 in words is "thirteen million, one hundred twenty-five thousand".